Hi mabrezov,
There is more information about different types of support systems (including bedframes, foundations, and platform beds) that are generally the most suitable for different types of mattresses and some examples of each of them in post #1 here.
While it’s always a good idea to check with the manufacturer of your mattress to make sure that any support system you use is suitable for your mattress and meets their warranty conditions … if budget and storage space is your most important criteria then some of the wire grid platform bedframes may be worth considering and there are a few links to some platform beds as well that may also be suitable.
Phoenix