There are actually a couple of issues here. Firstly if your daughter is going to leave the UK, well she will need a visa in her passport in order to get back into the UK. Use
form FLR(O) in order to apply for that visa. How to fill in that form? As if the child was personally holding the pen! Taking that on board helps with answering questions such as "Are you married?"! The only exception is that a parent needs to sign the form using their usual signature. Given the intended journey in January you might want to apply for the child's visa in person at a PEO ... same-day service ..... cost £500 ... rather than using the postal route ... cost £335 .... and wondering whether her passport will came back in time. It probably would, but can you take the risk? Maybe better to pay the extra £165 and stop the worry.
Given that you are going to be making an ILR under the 10-year provision, your family will not get ILR at the same time. Your wife ... how long has she been in the UK? If she came to the UK at the same time as you then she should make her own 10-year application. If she will have been in the UK for less than 10 years then after you have got your ILR, and are then deemed to be "settled" in the UK, an application should be made by her for a 2-year spouse visa, using form FLR(M). Your child can be included on the same form FLR(M). That is, your wife and child(ren) will all end up with 2-year visas, and near the end of that 2-year period applications can be made by them for their own ILR.
Also take on board that once you have your ILR you child(ren) born in the UK can be Registered as British. It seems strange but such child(ren) will end up as British before either of their parents.