I haven't used any of the Moorabbin entry lanes, so I don't know for sure what would be the best procedure, however I'm a firm believer that lanes of entry concentrate aircraft of varying speeds into a confined area, and for all its brilliance see and avoid is quite flawed. As such, if I'm using a busy VFR route, I will call up ATC and get a traffic statement both inbound and outbound, you never know when it may save your life. Also, after getting a traffic statement, continue monitoring the area frequency if possible, if conflicting traffic does come up, you can expect a safety alert which will give you the chance for avoiding action.
For Archerfield, I generally just do something like PKA overhead Petrie 1500 for Archerfield via tv towers request traffic. If there is no one else in the area, they won't even bother identifying me, I will just get the traffic statement. Remember, as soon as you are clear of the zone outbound, get on the area frequency of you can. I have received a safety alert almost as soon as I finished dialling up the frequency once. All the metro class D aerodromes have good radar coverage, so you can expect radar traffic. Our job is largely conflict recognition, (resolution is easy once you have spotted the conflict), and you would be surprised how far out we can detect even two VFR aircraft as possible conflicts. If ATC tell you someone is at the same level in conflict, remember level changes tend to resolve conflicts quicker and give you a better chance of spotting the other guy. In the aircraft we generally fly, 100ft vertical separation means you won't hit, although it will scare you.
And the final thing I say a lot but want to emphasise, is call us! I ultimately don't care if your radio talk isn't AIP perfect, I want you to have a good flight and get back home safely and I will do all I can to make that happen. If you call us, we will get the information we need out of you even if you don't know what we need. I know you don't fly every day like the commercial guys, and I don't expect the same standard when it comes to talking with ATC. What I do expect is to see sound airmanship whether your in a flying car or a 747.