I don’t have a bouncer and my son is in the floor a lot on a mat but if you want a bouncer try a nct used sale or Facebook marketplace etc as people are always getting rid of them. My first was Velcro as well but this one is less so but a wrap has still been great.
We did get a bouncer / swing and glad as Winnie hates being horizontal 🙃 but go to a Mum2Mum market if you can, people sell them so cheap!
We didn't have one with first, we used pushchair bassinet and playmat...haven't got one this time either...so far we're closely supervising toddler when baby is in bassinet. Plan will be to use play mat again though. All depends on your first child's understanding?