Cymbidium carry tall stems with many flowers that have a more typical orchid shape. They are easily identified by their grassy leaves, and they readily form large clumps. Most common are the cool-flowering types, which need to experience a cooler winter (nights in the 40s for some time in the fall) in order to initiate flowering. Once the flowers open, they can last for up to two months or more, especially in a cool environment. These are very showy and rewarding plants, and a plant in a six-inch pot can carry three stems with 15 or more flowers each, depending on the type.
The Lycaste orchid genus, similarly to its relative Anguloa, likes intermediate-to-bright light, intermediate-to-cool temperatures, and high humidity. The flowers look rather different, though; they are more-or-less triangular in shape because the sepals point outward while the petals point forward. These orchids are very fun to grow, and will thrive if you get their care right.
It sounds like it is not getting enough light. Repotting once per year after blooms have dropped is a good thing. Use a high quality bark mix for orchids or high quality sphagnum moss. If the flower spike dried out you did exactly the right thing by removing it. So try more light without direct sun and be sure to water only if the mix is dry. No wet feet for most orchids. Good luck

Disa is a genus of beautiful plants with rather triangular flowers, often red. They require VERY different care than other types of orchids, so it's easy to kill them if you don't know what you're doing. In particular, they like it wet and should never dry out. The best-known Disa is Disa uniflora, which in South Africa is known as the Pride of Table Mountain.

The Bulbophyllum orchid genus is the largest in the Orchidaceae family, with over 1800 species, making it the third largest genus of plants. (Taxonomists will probably eventually split it into several smaller genera, but with so many types of orchids it's a massive undertaking!) They differ widely in appearance, but all have a single leaf emerging from the top of the pseudobulb, flower stems coming from the bottom of the pseudobulb, and a hinged lip designed to tip insects against the column. Many are pollinated by flies, and stink like dung or rotting carcasses, which is a great conversation starter and gives you bragging rights for putting up with it! (They don't all stink, fortunately.) The rhizomes wander all over the place and often branch freely, so it's easy to grow an impressive specimen.
Mist your orchid. Since orchids thrive in humidity, misting your orchid is a great way to keep it healthy, especially since it prevents the roots from drying out. Fill a spray bottle with water, then spritz the plant a few times a day. How often you mist the orchid depends on the environment where you live. Drier environments will require more misting, while damp climates may require misting daily.[4]
Explore different types of orchids to learn if these graceful, exotic bloomers are plants you’d like to grow. Various orchid types hail from all kinds of diverse environs around the world. Some, like phalaenopsis orchids, are tropical beauties, while others, like cymbidium orchids, are native to cool mountainous regions. Some orchid species are hardy wildflowers, like the enchanting lady slipper orchids.  
A majority of orchids are perennial epiphytes, which grow anchored to trees or shrubs in the tropics and subtropics. Species such as Angraecum sororium are lithophytes,[24] growing on rocks or very rocky soil. Other orchids (including the majority of temperate Orchidaceae) are terrestrial and can be found in habitat areas such as grasslands or forest.

Some orchids have water-storing organs, and some do not. If you have a type of orchid that has the ability to store water, such as cattleyas or oncidiums, you should allow the orchid to completely dry out before watering. If you have a type of orchid that does not have water-storing organs, such as phalaenopsis or paphiopedilums, you should water the orchid before it is entirely dry.

Do a finger test. This is the best way to determine whether an orchid needs more water. Stick your pinky finger into the potting mix, taking care not to disturb the orchid's roots. If you don't feel any moisture, or you feel just a little, it's time to water the orchid. If you feel moist potting mix right away, give it more time. When in doubt, you should wait an extra day.
With the different orchid types, it’s important to master the watering schedule. If orchids have pseudobulbs, enlarged stem structures that store water, the orchid potting mix can dry out a little between waterings. Orchid species that are epiphytes and grow on tree branches in tropical rainforests are adapted to receiving water from daily rain, so they need more frequent watering.  
The potting mixture, or growing medium, for a phalaenopsis orchid should be good at both absorbing water and providing airflow to the roots of the plant. Therefore, consider using media such as tree bark, coconut coir, clay pellets, perlite, pumice pebbles, and sphagnum moss, either on their own or blended together. If you live in a humid climate, choose a courser potting mixture that dries quickly and provides the best drainage. On the other hand, those who live in a dry climate should use a finer medium that will dry more slowly and hold more moisture.

I think flying with the plant would be a challenge. Could you purchase one when you get there? Also, you need to check about bringing live plants into Spain because they have different rules for different countries. If you are giving the gift of a keiki or a cutting, that can be really challenging to grow for a beginner as well. So I’m not sure if that’s the best option. Honestly I think your best option is to contact this society and ask them what reputable growers they would recommend. I hope this helps! – Mary Ann