I'd recommeng getting accessories for your SDS, like a chuck to take
regular wood and driver bits, and a socket adaptor.

They might just cost more than a basic mains drill. ;-) And if it's a plug
in chuck makes the thing longer - and they wobble. I did buy one but have
only used it when I haven't got an ordinary mains one to hand.

Some posher SDS have interchangeable chucks - i.e. the sds chuck pops
off and the 3-jaw chuck pops on. Got this on my bosch, and either
chuck locks in place very solidly, no wobble at all.