Go with MR Jolly's suggestion, Schumacher mini pins are the tyre everyone uses in the UK when racing on wooden floors.
You can get blue compound which is a bit harder but you'll be down on grip to anyone using yellow.
Wide vs narrow can be down to grip, car balance or simply what the driver prefers. The amount of dust and even the kind of dust can make a big difference.
Some places new tyres are a must, others want tyres that are a few runs old or anything up to completely bald. In the hall I used to race in I always found new tyres slow, lost you atleast a lap since the car was wobbling around on the long spikes, you couldn't get as much corner speed and acceleration was poor too (not a lot but enough to know you were at a disadvantage)
Yet at another hall you either had brand new narrow tyres or you were drifting off into the wall