This is a bit of an open-ended answer as certain assumptions must be covered. Hope it helps though.
My concern is that you have 1 year of university left - is there a chance that this money will be needed to fund this year of uni? And might it be needed for the period between uni and starting your first job?
If the answer is 'yes' to either of these, keep any money you have as liquid as possible - ie. cash in an instant access Cash ISA.
If the answer is 'no', let's move on...
Are you likely to touch this money in the next 5 years? I'm thinking house & flat deposits - whether you rent or buy, cars, etc, etc. If yes, again keep it liquid in a Cash ISA but this time, perhaps look to get a slightly better interest rate by fixing for a 1 year or 2 year at a time. Something like MoneySavingExpert will show you best buy Cash ISAs.
If this money is not going to be touched for more than 5 years, then things like bonds and equities come into play. Ultimately your appetite for risk determines your options. If you are uncomfortable with swings in value, then fixed-income products with fixed-term (ie. buy a bond, hold the bond, when the bond finishes, you get your money back plus the yield [interest]) may suit you better than equity-based investments. Equity-based means alot of things - stocks in just one company, an index tracker of a well-known stock market (eg. FTSE100 tracker), actively managed growth funds, passive ETFs of high-dividend stocks... And each of these has different volatility (price swings) and long-term performance - as well as different charges and risks.
The only way to understand this is to learn.
So that's my ultimate advice. Learn about bonds. Learn about equities. Learn about gilts, corporate bonds, bond funds, index trackers, ETFs, dividends, active v passive management. In the meantime, keep the money in a Cash ISA - where £1 stays £1 plus interest.
Once you want to lock the money away into a long-term investment, then you can look at Stocks ISAs to protect the investment against taxation. You may also put just enough into a pension get the company 'match' for contributions. It's not uncommon to split your long-term saving between the two routes.
Then come back and ask where to go next... but chances are you'll know yourself by then - because you self-educated.
If you want an alternative to the US-based generic advice, check out my Simple Steps concept here (sspf.co.uk/seven-simple-steps) and my free posts on this framework at sspf.co.uk/blog. I also host a free weekly podcast at sspf.co.uk/podcast (also on iTunes, Miro, Mixcloud, and others...) They were designed to offer exactly that kind of guidance to the UK for free.