Thanks for the tag :)
OP how old is your LO, are you sure they are nearing the 13kg weight limit? This is very unusual in the infant carrier seats as they are usually too tall and seem "too old" for the seat long before they have hit the weight limit. For reference, 13kg is the size of an average 2.5 year old.
It is possible if your LO is on higher centiles. In this case, you definitely do not want the next seat for your base, as the 18kg/19kg limit will be much too low. The i-Spin has the same problem (this is an all in one seat which doesn't have a separate base).
There are rear facing seats for the next stage going up to 25kg:
Axkid Minikid 2
Axkid Move
(Avionaut Sky, but I wouldn't recommend for a high centile baby)
or up to 36kg:
Axkid Minikid 4
Besafe Stretch
Britax Max Safe Pro
All of these rear face for all of that weight limit, unlike many of the "36kg" seats which convert to a booster part way through the lifespan.
They are on the pricier end unfortunately, but if you have a higher centile child then it is worth investing in one of these rather than buy the 18kg limit seat, and then need to get one of these later anyway.
The other option is to get an 18kg seat that can do rear facing for now - but many of the 18kg rear facing seats have poor leg room, which is not ideal for larger-proportioned children - and then change to a 25kg harness forward facing seat (like Joie Bold) when this is outgrown. For children on the very highest centiles they will outgrow an 18kg limit seat at around 2.5 to 3 years old.
Whatever age your child is I wouldn't suggest going straight to a forward facing seat out of the baby seat. Keep them rear facing :)
Isofix bases are brand and often model specific. You shouldn't put your car seat on your friend's base unless you have the same model of seat, as it might be incompatible and get stuck, or it might not fit in securely. There are a number of models now where the infant carrier has a base, and the same base promises to take a toddler seat as well, although the toddler seat won't have a carry handle, and is still designed to stay in the car. Maxi Cosi started this back when isofix was new as it was an inexpensive way to get the isofix fixing for the toddler portion, which used to be very expensive. These days it's more of a marketing hook where the company wants you to feel like you're committed to their brand/next stage model. It's almost always a false economy to get the seat for your baby seat's base. (There are some exceptions. But certainly not in the scenario where you have a high centile baby.)
There are still lots of seats for sale where it's all in one unit, and if you're going into a shop without saying "I have X base, what can I fit on it?" then the sales staff won't bother showing you the base-and-seat models as they work out horrifically expensive bought that way. Which may explain @Marylou62 's experience :)