Which wallet for ETH ? How much $ gas fee ?

Hi there i got a littlebit ETH on my Exchange Account. I really want to move it since i believe "not my Keys not my crypto" can anyone recommend a good ETH Wallet (How much space will i need if i choose a fullnode?)?

And does anyone know where i can look up how much my transaction fee will cost (in $ not gwei because i am to dumb to calculate gwei to usd)

Yeah i am a crypto noob but maybe i can find help here in this subr. Sorry for my Bad english must be a true horror to read this Text Xd .