I don't know if it is a lot or a few, but I see this number of connections:
bitcoin-cli getnetworkinfo | grep connections
"connections": 66,
It does not seem to get over 70, is there an in-built limit? If yes, can I tweak the limit of connections to get higher?
By default, bitcoin-core allows up to 125 connections to different peers, 8 of which are outbound. You can therefore, have at most 117 inbound connections.
I think there is no need to handhold bitcoind to control the connection management.
You could try to limit the maximum connections with -maxconnections=<num> to reduce the amount of internet traffic produce by your node.
