Migration to Rapid-PVST

Hi

I have question regarding migration from classic PVST to Rapid-PVST. My
Layer2 network diagram:

customers
|
|
2950G
|
ge
|
3560G--ge--3750G---ge---7304
/ | |
ge | |
/ | |
customers---3550 ge ge
\ | |
ge | |
\ | |
2960G--ge--3560G---ge---7304
/ \
ge ge
/ \
customers--2950G 2950G--customers

All above switches are working in same VTP domain, so they have same
VLANs database (currently about 60 VLANs). 3750G switch is root-bridge
for all VLANs, core-switches (2960G,2x3560G,3750G) carring VLANs from
access-switches (3550, 3x2950G) to edge routers (2x7304).

How procedure of migration to Rapid-PVST should looks ? Should I first
upgrade core switches and next access-switches ? Is this migration
bring some outages in network (eg. caused by spanning-tree
recalcuations).

Thanks for help,
Robert
.

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