Cheap easy carrier - for indoors

I personally really rate the baby björn mini :)

I know you said no wraps but this one has been my life saver - it’s easy as wraps go, buckle round the waist pop them in and put the arms on and then you just cross the two stretches of fabric around your waist and tie (I tie at the side) xx https://amzn.eu/d/63RLYEq

Connecta / Integra carriers are super easy & you could pick up a good deal from vinted. These are mum-facing front & back carriers

Izmi baby carrier is great - it’s not padded but super comfortable and very adjustable.

Infantino- very good and easy to put by yourself

Another vote for the Izmi. It's so easy to put on. I had another carrier and cried with the back pain. I have got on so well with this one. My little girl will face outwards when I'm chasing the toddler around, but will also turn the other way for naps. There's loads of videos on YouTube too showing how to wear properly. *My little girl had hip dysplasia and was in a brace for weeks. Her consultant checked this sling over for me and was happy with the hip position. Just thought I would mention as some are now not recommended because how they sit on the baby's hips. A lot now do state if they are hip healthy though