Here are a couple Filia corner combos:
Somone's probably put this combo here but I'm too lazy to read through the whole thread.
Inputs are:
cr.LK, MK, HP
j.HP, j.HK
ADC, j.LK, j.HP, j.HK
cr.MP (cr.LK for heavies), cr.HP, Psych
MK, cr.HP, Psych
LK, HP
delay, j.LP, H Airball
ADC, j.MP
LPx2, LK, MP, cr.MK, HK, H Hairball, Fenrir
Corner HCH combo, this is a modified version of @joshb911's one from a few pages back but I got rid of the j.HP, j.HK, ADC, j.HP, j.HK, cr.LK bit since I think that is lights only and is pretty tight.
Inputs are:
HP
j.HP, j.HK
ADC, j.LK, j.HP, j.HK
cr.MP, cr.HP, Psych
MK, cr.HP, Psych
LK, HP
delay, j.LP, H Airball
ADC, j.MP
LPx2, LK, MP, cr.MK, HK, H Hairball, Fenrir
For heavies you replace lines 4 onwards with:
cr.LK, cr.HP, Psych
MK, HP, Ringlet
MP, HP
j.LP, H Airball
ADC, ender
I'd also say that you don't need to learn HCH combos and especially HCH corner combos until you already have all the fundamental stuff down pat. You can just do your normal combo usually and spend that lab time on playing vs people instead. Once you are comfortable with all your central combos, resets, etc then think about HCH combos.