The simplest and best proven way to use CXF in OSGi is with Apache Karaf. It is an OSGi server based on Equinox or Felix and is optimized for integration with several Apache frameworks like CXF, Camel, ActiveMQ.
If you want to use plain Equinox then the DOSGi distro mentioned above is a good starting point. It contains all bundles needed to run Distributed OSGi based on CXF. This means it is also suitable for most CXF JA-XWS use cases.
In Karaf on the other hand you get a much better integration with all the CXF modules. It is also much better tested as it is used for Servicemix and several commercial solutions e.g. from Redhat and Talend where I work.
For your special case Distributed OSGi itself may also be a very good option. It means that you do not directly provide/consume CXF services. Instead you publish and consume OSGi services and CXF takes care of the remoting.
I have written a tutorial series that shows how to use CXF with Apache karaf: