FYI your entry point into the next galaxy is derived from your last black hole jump.

So, find a black hole within the inner 1000LY ring/sector of the galaxy and jump through it, then jump to the centre. You’ll arrive in the new galaxy at more or less the same distance from the centre as you exited the black hole.

For bonus points, plonk a base down or visit a space station so you can use the transporter to jump back to any galaxy you’ve visited.