Kendrick do not have a catchment but I believe they do have a statement about reasonable travelling time.
Reading do have a designated area and also boarding.
All day places will be offered to applicants who perform well enough in the tests and who reside within the designated area. Only if there are further places available will candidates who live outside the designated area be considered.
The designated area consists of:
All post codes starting:
RG1, RG2, RG4, RG5, RG6, RG7, RG8, RG10, RG12, RG18, RG19, RG30, RG31, RG40, RG41, RG42, RG45.
RG9 1, RG9 2, RG9 3, RG9 4 & RG9 5
RG14 1, RG14 2, RG14 3, RG14 5, RG14 6 & RG14 7
RG20 4, RG20 5, RG20 6 & part of RG20 7 (east of A34)
RG26 3, RG26 4 & part of RG26 5 (north of A339)
RG27 0 & parts of RG27 8 & RG27 9 (north of M3)
GU15 1, GU15 2, GU15 3 & GU15 4
GU17 0 & GU17 9
GU46 6 & GU46 7
GU47 0, GU47 8 & GU47 9
OX10 0, OX10 8, OX10 9 & part of OX10 6 (south of A4130)
SL5 0, SL5 7, SL5 8 & SL5 9
SL6 1, SL6 2, SL6 3, SL6 4, SL6 5, SL6 6 & SL6 7
I know one lad starting at Reading in September who lives on edge of designated area at RG9 4.
Even good schools have not so good years in getting places, the competition is very tough. There is no loading against Oxfordshire it is a first past the post exam system.
Rather than moving house or school which will cause disruption why not consider DIY tuition for the exam, that is what this site is about.
Good luck on your journey.