It's a question if you'd rather your ISP see you using a VPN and Mullvad seeing you use Tor or your ISP knowing you're using Tor.
I would not rely on bridges if you ever need to deny that you used Tor at a certain point in time though they may be useful for bypassing some censorship systems. A VPN could hide Tor use from your ISP but that obviously comes with a different set of risks (the VPN provider will know you are using Tor).