Entrer en contact and améliorer1 nos réseaux are fine and might be used by native people.
As a side comment, while your text is quite good French, there are a few issues like these ones :
en apprendre et en proposer plus doesn’t seem to match “learn new things” and the two en are odd here.
au notre mode de vie is incorrect, should be à notre…
parce que nous devons doesn’t translate “in order to”.
notre needs to agree with journées
we do not use German quotes „xxx“ but guillemets « xxx » 2.
1 Instead of améliorer, renforcer or consolider would better match stronger.
2 Azaghal corrected your question in the meantime.