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I think you should get yourself a decent combi with a couple of torque settings and new half decent masionary bits. While an SDS is better and will deal with concrete I've never had any problems with my DeWalt combi in brick since using new bits and the high torque + hammer setting.
Pretty sure Screwfix still have deals on DeWalt and Makita impact + combi sets.
Eg two batteries and a box https://www.screwfix.com/p/dewalt-dck2510l3t-gb-18v-3-0ah-li-ion-xr-brushless-cordless-twin-pack/682fk#product_additional_details_container
Hammer drill setting on my cordless entry level drill isn't doing anything to my wall. The wall is about 2ft thick and very solid.