IME:
Bay is best grown in the ground and can grow big but can be kept small if well pruned. I pick leaves whenever I want them or save prunings to dry.
Thyme bought in pots from the supermarket can be divided into lots of little plants and planted out at this time of year. Much cheaper than from garden centres.
Taste tarragon before you buy. Even if the label says French Tarragon it isn't always - Russian tarragon can be grown from seed and is tasteless. I kept mine in open ground last winter (mild, am also in SE), and it's sprouting well.
I don't bother with sage as it grows big & leggy and I don't cook much with it, so dried is fine.
I love lovage - tastes of celery, but wilder, and excellent in cooking. It grows big & tall
Don't plant lemon balm you'll never get rid of it, as it spreads, and seeds freely. It keeps popping up in my garden, though I keep pulling it out.
Do plant lemon verbena -grows well in pots, is pretty, and the chopped leaves make fabulous lemon drizzle cake later in summer, also ice cream. Buy a tiny plant as big ones are expensive but they grow quickly. Keep sheltered in winter.
Sorrel is good for a bit of sourness - I make soup out of two plants.
Basil grows ok out of doors in a hot summer, but the slugs do like it, (and dill, and coriander.)
Chervil is lovely to eat, and so pretty. Easy to grow, but runs to seed quickly so you have to keep sowing
Get special 'leaf' coriander seeds as if you sow coriander from supermarket pots it'll be a variety that produces lots of seeds not leaves
Summer savory is nice too - grows easily from seed - a bit like thyme in flavour, but tall
Thyme needs good drainage and a lot of sun - add grit to the soil and no feed.
Agreed about mint spreading. I grow it ok in the shade in pots. It's unusual for a herb in liking a lot of water. I grow Moroccan mint, as I like it best for fresh mint tea.