It's up to you. While bc1 is not widely adopted, the segwit enabled Bitcoin Core versions already supports it. As a result, the network does support it and several exchange and services recognises bc1 address.

You can also create an wallet that uses P2WPKH nested in P2SH address. The format is exactly like your normal P2SH address (multisig etc) but you can use segwit with it. P2SH is pretty old and everyone should recognise it as valid.