Which Ickle bubba pram do you have. I have the stomp urban travel system and I love it so much. I replaced the mattress in the carry cot with a Moses basket mattress so my baby is more comfortable in it. I have separate pieces for the seat tho.
Have a look at Facebook marketplace - silver cross wave or pioneer, cybex gazelle s, icandy and egg2&3 are all really good and sturdy prams x
I have the Joie versatrax. The pushchair bit is from newborn as it lays flat. My little one is 9 weeks old and has been in the pushchair but a few weeks and she prefers it so much. In the carrycot on walks I don’t think she felt secure. She loves being able to see out too. Mine came with the carry cot, two car seats and iso fix base and the pushchair. It’s brill so far. Always deals on for it x